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22012033344 = 2637232512837
BaseRepresentation
bin10100100000000001…
…001111100101000000
32002211001112011010020
4110200001033211000
5330040040031334
614040122133440
71406323124220
oct244001174500
962731464106
1022012033344
1193762454a4
124323951280
1320ca4a6202
1410cb5d4080
1588c708e49
hex52004f940

22012033344 has 224 divisors, whose sum is σ = 69755406336. Its totient is φ = 5989632000.

The previous prime is 22012033339. The next prime is 22012033391. The reversal of 22012033344 is 44333021022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×220120333442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7757494 + ... + 7760330.

It is an arithmetic number, because the mean of its divisors is an integer number (311408064).

Almost surely, 222012033344 is an apocalyptic number.

22012033344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34877703168).

22012033344 is an abundant number, since it is smaller than the sum of its proper divisors (47743372992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22012033344 is a wasteful number, since it uses less digits than its factorization.

22012033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22012033344 its reverse (44333021022), we get a palindrome (66345054366).

The spelling of 22012033344 in words is "twenty-two billion, twelve million, thirty-three thousand, three hundred forty-four".